Question

What is the area of this rombus. use picture for reference

Answer 1

We are given a rhombus with one side measuring 5 cm, and one angle measuring 50 degrees. To determine the area we can use the following formula:

`A=a^2sin\alpha`

Where "a" is one side and alpha is the measure of any interior angle of the rhombus. In this case, we have that

`\angle\text{ODC}=50^0`

Since line DB bisects the angle ADC, that means that:

`\angle ADC=2(50^0)=100^0`

Replacing in the formula for the area:

Solving we get:

`A=24.62cm^2`